22 citations · 80 across the 14 of their papers we have counts for
15 papers
Degree-preserving conservative processes and a unified approach for their hydrodynamics
Chiara Franceschini, Patrícia Gonçalves, Kohei Hayashi +1
We investigate a broad class of large-scale one-dimensional interacting systems characterized by a single conservation law and satisfying the "degree-preserving property". Under mi…
Duality for some models of epidemic spreading
Chiara Franceschini, Ellen Saada, Gunter M. Schütz +1
We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spr…
Non-equilibrium fluctuations for SEP() with open boundary
C. Franceschini, P. Gonçalves, M. Jara +1
We analyze the non-equilibrium fluctuations of the partial symmetric simple exclusion process, SEP(), which allows at most particles per site, and we put it in…
Large deviations and additivity principle for the open harmonic process
Gioia Carinci, Chiara Franceschini, Rouven Frassek +2
We consider the boundary driven harmonic model, i.e. the Markov process associated to the open integrable XXX chain with non-compact spins. Using the factorial moments we character…
Solvable stationary non equilibrium states
Gioia Carinci, Chiara Franceschini, Davide Gabrielli +2
We consider the one dimensional boundary driven harmonic model and its continuous version, both introduced in \cite{FGK}. By combining duality and integrability the authors of \cit…
Hard Rod Hydrodynamics and the Levy Chentsov Field
Pablo A. Ferrari, Chiara Franceschini, Dante G. E. Grevino +1
We study the hydrodynamics of the hard rod model proposed by Boldrighini, Dobrushin and Soukhov by describing the displacement of each quasiparticle with respect to the correspondi…
Integrable heat conduction model
Chiara Franceschini, Rouven Frassek, Cristian Giardinà
We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the wel…
Orthogonal polynomial duality and unitary symmetries of multi--species ASEP and higher--spin vertex models via --bialgebra structure of higher rank quantum groups
Chiara Franceschini, Jeffrey Kuan, Zhengye Zhou
We propose a novel, general method to produce orthogonal polynomial dualities from the --bialgebra structure of Drinfeld--Jimbo quantum groups. The --structure allows for t…
Hydrodynamical behavior for the generalized symmetric exclusion with open boundary
Chiara Franceschini, Patrícia Gonçalves, Beatriz Salvador
We analyze the generalized symmetric exclusion process, which allows at most particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated…
Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics
Chiara Franceschini, Patrícia Gonçalves, Federico Sau
We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the inte…
q-Orthogonal dualities for asymmetric particle systems
Gioia Carinci, Chiara Franceschini, Wolter Groenevelt
We study a class of interacting particle systems with asymmetric interaction showing a self-duality property. The class includes the ASEP(), asymmetric exclusion process, with…
Orthogonal Dualities of Markov Processes and Unitary Symmetries
Gioia Carinci, Chiara Franceschini, Cristian Giardinà +2
We study self-duality for interacting particle systems, where the particles move as continuous time random walkers having either exclusion interaction or inclusion interaction. We…
Self-duality of Markov processes and intertwining functions
Chiara Franceschini, Cristian Giardinà, Wolter Groenevelt
We present a theorem which elucidates the connection between self-duality of Markov processes and representation theory of Lie algebras. In particular, we identify sufficient condi…
Stochastic Duality and Orthogonal Polynomials
Chiara Franceschini, Cristian Giardinà
For a series of Markov processes we prove stochastic duality relations with duality functions given by orthogonal polynomials. This means that expectations with respect to the orig…
Energy-exchange stochastic models for non-equilibrium
Chiara Franceschini, Cristian Giardina
Non-equilibrium steady states are subject to intense investigations but still poorly understood. For instance, the derivation of Fourier law in Hamiltonian systems is a problem tha…